SOLUTION: The probabilities of A, B, C solving a problem are 1/3, 2/7 and 3/8 respectively. If all the three try to solve the problem simultaneously, find the probability that exactly one of
Algebra.Com
Question 847511: The probabilities of A, B, C solving a problem are 1/3, 2/7 and 3/8 respectively. If all the three try to solve the problem simultaneously, find the probability that exactly one of them will solve it.
Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!
We have P(A) = 1/3 => P(not A) = 2/3,
P(B) = 2/7 => P(not B) = 5/7,
P(C) =3/8 => P(not C) = 5/8.
Probability that only one will solve the problem
= P(A)and P(not B) and P(not C) + P(not A) and P(B) and P(not C)+ P(not A) and P(not B) and P(C)
= 1/3×5/7×5/8 + 2/3×2/7×5/8 + 2/3×5/7×3/8
= (25/168) + (20/168) + (30/168)
= 75/168 = 25/56. [Ans.]
RELATED QUESTIONS
find the probabiliy that the problem will be solved of the probability of a, b, c solving (answered by Theo)
The Odds against A solving a problem in statistics are 10 to 8; the odds in favour of B... (answered by edjones,Theo)
A mathematics problem is given to three students A, B, C whose chances of solving it are... (answered by ikleyn)
A problem in Statistics is given to three students A, B and C whose chances of solving it (answered by stanbon)
Please help me to solve this problem. A manufacturer produces three products : A,B and C. (answered by lwsshak3)
Can you answer and explain this? Please help me. Thank you!
If the probabilities of... (answered by KMST)
In a game, there are three rounds; the probabilities of winning first, second & third... (answered by robertb)
The problem that "A" can Solve a given problem is 4/5 that "B" can solve is 2/3 and "C"... (answered by greenestamps)
The probability that A can solve a problem is 4/5, that B can solve it is 2/3 and that C... (answered by sudhanshu_kmr)